离散时间多胞型系统的状态反馈H∞控制  

State Feedback H∞ Control for Discrete-time Polytopic Systems

作　　者：王利魁[1] 胡国林[1] 

机构地区：[1]南昌航空大学,江西南昌330063

出　　处：《南昌航空大学学报（自然科学版）》2012年第1期15-20,共6页Journal of Nanchang Hangkong University(Natural Sciences)

基　　金：国家自然科学基金(61104220);江西省自然科学基金(2010GQS0173);江西省教育厅基金(GJJ11170)

摘　　要：针对离散时间多胞型系统的H∞控制,利用新的Lyapunov函数及控制律,并不同于其他方法中只对当前时刻参数引进矩阵变量.在当前时刻和下一时刻参数分别引进矩阵变量,扩展了先前的方法,加快了收敛速度,克服了先前方法中收敛速度很慢且次数不能无限增加的缺点,获得了保守性更小的条件.最后,仿真实验验证了结论的有效性.This paper is concerned with state feedback H∞ control for discrete-time polytopic systems by using new Lyapunov function and controller,and the slack variables are introduced for the current time parameter and next time parameter respectively,which is different from other methods by which the variables are introduced only for the current time parameter.The method extends previous one and accelerates the convergence rate,which overcomes drawbacks of previous method that the convergence rate is slow and the degree can not go infinitely,thus leading to less conservative results.In the end,simulation experiments are given to demonstrate the effectiveness of the proposed approach.

关 键 词：H∞控制 多胞型系统 齐次多项式参数相关矩阵函数 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]